How to solve F = - k * x

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve F = - k * x | Equatix

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Question

$$F=-kx$$

Solve for k (complex solution)

$\left\{\begin{matrix}k=-\frac{F}{x}\text{, }&x\neq 0\\k\in \mathrm{C}\text{, }&F=0\text{ and }x=0\end{matrix}\right.$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$\left(-k\right)x=F$$

Reorder the terms.

$$-kx=F$$

The equation is in standard form.

$$\left(-x\right)k=F$$

Divide both sides by $-x$.

$$\frac{\left(-x\right)k}{-x}=\frac{F}{-x}$$

Dividing by $-x$ undoes the multiplication by $-x$.

$$k=\frac{F}{-x}$$

Divide $F$ by $-x$.

$$k=-\frac{F}{x}$$

Show Solution

Solve for k

$\left\{\begin{matrix}k=-\frac{F}{x}\text{, }&x\neq 0\\k\in \mathrm{R}\text{, }&F=0\text{ and }x=0\end{matrix}\right.$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$\left(-k\right)x=F$$

Reorder the terms.

$$-kx=F$$

The equation is in standard form.

$$\left(-x\right)k=F$$

Divide both sides by $-x$.

$$\frac{\left(-x\right)k}{-x}=\frac{F}{-x}$$

Dividing by $-x$ undoes the multiplication by $-x$.

$$k=\frac{F}{-x}$$

Divide $F$ by $-x$.

$$k=-\frac{F}{x}$$

Show Solution

Solve for F

$F=-kx$

Show Solution

Example

Question

Solve for k (complex solution)

Steps for Solving Linear Equation

Solve for k

Steps for Solving Linear Equation

Solve for F

Solution Steps